# Stored data for newform 1045.2.a.j, downloaded from the LMFDB on 20 April 2024.
{"label": "1045.2.a.j", "space_label": "1045.2.a", "level": 1045, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679889941, "dim": 9, "is_polredabs": true, "trace_hash": 133794223667118620, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -8, 51, -21, -70, 25, 27, -9, -3, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+\\beta _{5}q^{3}+(1-\\beta _{1}-\\beta _{8})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4180, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 8.3443670112238, "hecke_ring_index": 8, "level_radical": 1045, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [1045, 1, [837, 761, 496], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 11, 19], "conrey_indexes": [1], "field_disc": 4411829446672, "field_disc_factorization": [[2, 4], [17, 1], [16219961201, 1]], "field_poly": [-2, 10, 13, -36, -20, 34, 11, -11, -2, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.065", "prec": 17}, {"__RealLiteral__": 0, "data": "7.891", "prec": 17}, {"__RealLiteral__": 0, "data": "4.124", "prec": 17}, {"__RealLiteral__": 0, "data": "190.974", "prec": 24}, {"__RealLiteral__": 0, "data": "354.738", "prec": 24}, {"__RealLiteral__": 0, "data": "7632.034", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [11, 1], [19, -1]], "trace_display": [3, 3, -9, -9], "traces": [0, 9, 3, 3, 9, -9, 6, -9, 15, 16, -3, 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